Defending rational expectations

Whenever I post anything which suggests that the idea of rational expectations was a useful innovation in macroeconomics, Lars Syll writes something to the effect that I am (and therefore most mainstream macroeconomists are) “so wrong, so wrong”. Now why does this bother me? Well, to be honest, it does not bother me very much. As Bob Dylansang: ‘Yes, I received your letter yesterday (About the time the doorknob broke)’.

But it does bother me a bit. Professor Syll does write very eloquently, and this kind of eloquent prose can appeal to the occasional young economist, who is inclined to believe that only the radical overthrow of orthodoxy will suffice. I meet one or two each year I teach. I remember the feeling: been there, done that. It also appeals to people like Aditya Chakraborttywho are understandably unhappy by the current state of things economic. (See this nice recent post by Diane Coyle on both this particular article but also heterodox critiques more generally.) There is plenty to legitimately criticiseabout mainstream economics (and its textbooks), so it is a shame Professor Syll wastes his talents on one of its major achievements, which is rational expectations. On this he is, well, so wrong.This discussion can easily get populated with straw (super)men, so let's be clear about some things. It is not a debate about rational expectations in the abstract, but about a choice between different ways of modelling expectations, none of which will be ideal. This choice has to involve feasible alternatives, by which I mean theories of expectations that can be practically implemented in usable macroeconomic models. In the past, I have attempted to try and start a dialog with heterodox economists on the level of practical macroeconomics, to get beyond the fine words and phrases. It did not seem to work. I tried again in that recent post, asking for practical alternatives to rational expectations. Professor Syll referred me to behavioural economics, or Frydman and Goldberg’s ‘Imperfect Knowledge Economics’. But perhaps I did not make it clear what I meant by practical.

If I really wanted to focus in detailon how expectations were formed and adjusted, I would look to the large mainstream literature on learning, to which Professor Syll does not refer. (Key figures in developing this literature included Tom Sargent, Albert Marcet, George Evans and Seppo Honkapohja: here is a nice interview involving three of them.) Macroeconomic ideas derived from rational expectations models should always be re-examined within realistic learning environments, as in this paper by Benhabib, Evans and Honkapohja for example. No doubt that literature may benefit from additional insights that behavioural economics and others can bring. However it is worth noting that a key organising device for much of the learning literature is the extent to which learning converges towards rational expectations.

However most of the time macroeconomists want to focus on something else, and so we need a simpler framework. In practice that seems to me to involve a binary choice. Either we assume that agents are very naive, and adopt something very simple like adaptive expectations (inflation tomorrow will be based on current and past inflation), or we assume rational expectations. My suspicion is that heterodox economists, when they do practical macroeconomics, adopt the assumption that expectations are naive, if they exist at all (e.g. here). So I want to explain why, most of the time, this is the wrong choice. My argument here is similar but complementary to a recent piece by Mark Thoma on rational expectations.

Suppose we have an equation determining wage or price inflation (a Phillips curve), where inflation expectations appear on the right hand side of the equation. We need some way of determining those expectations. Lots of nice words like ‘non-ergodic’ will not do: we need something simple that can be used to solve the model. To assume, as mainstream macroeconomists once did, that these expectations just depend on past observations about inflation seems to assume that agents are stupid. These agents ignore everything that economists and the media say about inflation: they ignore monetary policy, and whether the economy is in a boom or recession. Now if getting expectations right did not matter too much to these agents, then maybe such naivety would be understandable. But in this case making expectations errors can mean getting real wages or profits wrong, so it matters.

Perhaps you think the alternative is equally unbelievable. Rational expectations, often called model consistent expectations, implies that agents know the model that the modeller has constructed, and use it to generate expectations. This is where the elegant prose comes in - you can make this sound incredible. Of course it will not be literally true, but I think it is a lot nearer the truth than the adaptive expectations alternative. The reason why mainstream economics replaced adaptive expectations with rational expectations in the 1970s was because the new approach was consistent with what economists did elsewhere. Firms may not know the true demand curve for their product and work out the price that maximises profits each period, but that is a better approximation to how they choose prices than a model where they have a fixed mark-up on costs. So it just seemed consistent to also assume that agents used relevant and available information to generate expectations when those expectations mattered. The closest we can get to that, without assuming an elaborate learning model, is to assume rational expectations.

This is an empirical claim. But how else do you make sense of a whole forecasting industry, and the newsworthy character of macro forecasts. Rational expectations at least acknowledges that endeavour, while adaptive expectations pretends it does not exist. And how else do you make sense of the response of Japanese inflation expectations to little more than a policy change: see Carola Binder’s discussion. How can you make sense of all the discussionof forward guidance without the concept of rational expectations?

Most of the references I make to rational expectations in posts are in the context of the history of macroeconomic thought. I suspect the problem some people have is that they associate rational expectations with the New Classical critique of Keynesian economics, and therefore think rational expectations must be anti-Keynesian. This confuses who fought wars with the weapons they used. I see it quite differently. Before rational expectations, mainstream Keynesian theory that incorporated the Phillips curve depended on a rather fragile story of why economic booms (downturns) could occur, which was that workers kept under (over) estimating inflation. New Keynesian theories based on rational expectations are more compelling, and can include the fact that information is both costly and incomplete.

So I just do not get this obsession that some heterodox economists have with rational expectations. I think its fine to criticise mainstream theory (particularly macro theory) for being too wedded to rationality in general: I seem to remember some remarks of my own along those lines. But mainstream macro does take learning, and the problem of costly and limited information, seriously. However for the foreseeable future, rational expectations will remain the starting point for macro analysis, because it is better than the only practical alternative. The choice really matters. An economy where agents form their expectations in a naive adaptive way is like an elaborate machine which takes no account of what policymakers are doing. In reality the economy appears more intelligent than this: policy is difficult because people in the economy take actions which anticipate what policymakers might do. This makes designing good policy difficult, but the concept of rational expectations has allowed macroeconomists to tackle this problem. To throw all that away by abandoning rational expectations would not improve macroeconomics, it would impoverish it.